I would like to remove these from the entire site leaving just the cart and the menu in the header. I have used the above code to remove one of the horizontal rule. After looking through the forums I have managed to add the following to my Quick CSS

#top .logo, .logo a{

display: none;

}

#header .container {

border: none !important;

}

Please let me know what additional code is needed to make the desired changes.